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3 years ago

What is the volume of this solid figure made with cubes?

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

Answer: 5

Step-by-step explanation:

hope this help get a A

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The weight of gemstones, such as diamonds, rubies, and emeralds, is measured in carats. A carat is a unit of measure equal to 20

Alexxx [7]

We are told in the question that 1 carat is equal to 200 mg.

The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

$\frac{200mg}{1 carat}* \frac{44.5 carats}{1}=8,900 mg$

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

$\frac{8,900mg}{1000}=8.9grams$

Now we know that the weight of the Hope Diamond is equal to 8.9 grams.

8 0

4 years ago

1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the h

Georgia [21]

Answer:

(1)55.5 feet

(2)7.5 feet

Step-by-step explanation:

Question 1

The diagram is attached below.

Using Trigonometric ratio

$\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)$

The height of the house is 55.5 feet to the nearest tenth.

Question 2

In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.

Using Trigonometric ratio

$\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)$

The distance the bird must fly to be directly above the fish is 7.5 feet.

6 0

4 years ago

How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?

r-ruslan [8.4K]

Answer:

Two unique triangles possible

Step-by-step explanation:

Given two sides of 10 cm and one 40° angle

If we use these, we'll get isosceles triangle with:

1. Included 40° angle.

Then the other angles will be same and measure:

(180° - 40°)/2 = 70°

2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.

The remaining angle will measure:

180° - 2*40° = 100°

There no more unique triangles possible, so the answer is two.

3 0

3 years ago

What is 2 times 2 and 7/8

anyanavicka [17]

2 x 2 7/8 = 5 3/4 hope it helps

6 0

4 years ago

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Which one of the following would be a good tool to represent data in terms of percentage of a whole?

NemiM [27]

I think the correct answer from the choices listed above is the first option. It is a pie chart that would be a good tool to represent data in terms of percentage of a whole. It is a graph that makes use of a circle divided into parts that represents the proportion of the whole.

6 0

3 years ago

Read 2 more answers